and many more benefits!

GMAT Club Timer Informer

Hi GMATClubber!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Hide Tags

A safari is held twice in a day either in the morning or in the evenin
[#permalink]

Show Tags

10 Jul 2017, 03:28

2

7

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

38%(03:21) correct 62%(03:04) wrong based on 69 sessions

HideShow timer Statistics

A safari is held twice in a day either in the morning or in the evening. A person is allowed to participate in the safari in both the timings. A total of 108 people participate in the safari. The number of men and women in the safari are in the ratio 5 : 4. The total number of men who participate in the safari in the morning is 50 percent of the total number of men who participate in the safari. If every person participated in the safari at least once, what is the number of people who participate in the safari both in the morning and in the evening?

(1) The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.

(2) The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.

1. The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.

\(x = \frac{4a}{5}\)\(y = 2b\) -> \(b = 15\)This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)

2. The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.

\(b = \frac{3a}{5}\)This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)

Combining the information from both the statements,

a = 25,b=15\(x = \frac{4a}{5} = 20\) | \(y = \frac{6a}{5} = 30\)

Both(men) = 10Both(women) = 8From this information, we can find out the total number of people who participated in both safaris are 18(Option C)_________________

1. The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.x = 4a/5y = 2b => b = 15This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)

2. The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.b = 3a/5 This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)

Combining the information from both the statements,a = 25,b=15x=4a/5=20y=6a/5=30Both(men) = 10Both(women) = 8From this information, we can find out the total number of people who participated in both safari's are 18(Option C)

A safari is held twice in a day either in the morning or in the evenin
[#permalink]

Show Tags

10 Jul 2017, 14:46

1

Bunuel wrote:

A safari is held twice in a day either in the morning or in the evening. A person is allowed to participate in the safari in both the timings. A total of 108 people participate in the safari. The number of men and women in the safari are in the ratio 5 : 4. The total number of men who participate in the safari in the morning is 50 percent of the total number of men who participate in the safari. If every person participated in the safari at least once, what is the number of people who participate in the safari both in the morning and in the evening?

(1) The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.

(2) The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.

I struggled a lot with this question, is there a simpler way to solve it? It took me a really long time.

Let:Men:- X = only in the morning- Y = only in the evening- XY = both (note that it's not a multiplication, just a convenient notation)- M = X + Y + XYWomen:- A = only in the morning- B = only in the evening- W = A + B + AB (same here)

1. The number of men who participate in the safari only in the morning is 80 percent of the women who participate in the safari only in the morning. Also, the number of men who participate in the safari only in the evening is double the number of women who participate in the safari only in the evening.x = 4a/5y = 2b => b = 15This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)

2. The number of women who participate in the safari only in the evening is 60 percent of the girls who participate in the safari only in the morning.b = 3a/5 This information is not enough to determine the total number of people who participated in both the morning and evening safari(Insufficient)

Combining the information from both the statements,a = 25,b=15x=4a/5=20y=6a/5=30Both(men) = 10Both(women) = 8From this information, we can find out the total number of people who participated in both safari's are 18(Option C)

Thanks for the great explanation! It is really good structured and easy to follow!

Towards the questions about b=15 and a=25,It is from: y=30 and in (1) y=2b, so b=15and from (2) b=3/5a, so a=25Subsequently, 25+15+ab=48, so ab=8

x=4/5a=20, y=30, therefore from 20+30+xy=60, xy=10

We were asked the sum of xy and ab, and its 10+8=18

The answer choice C
_________________

The more we do, the more we can do.

gmatclubot

Re: A safari is held twice in a day either in the morning or in the evenin
[#permalink]
12 Feb 2019, 18:47